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Finding the Fourth Proportional to 1,159,169,471.20, 1,738,754,206.80 and 1,159,169,471.20

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Solution

The fourth proportional to 1,159,169,471.20, 1,738,754,206.80 and 1,159,169,471.20 is: 1,738,754,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,169,471.20 : 1,738,754,206.80 = 1,159,169,471.20 : x
  2. Step 2: Convert to fraction form
    1,159,169,471.20/1,738,754,206.80 = 1,159,169,471.20/x
  3. Step 3: Cross multiply
    1,159,169,471.20x = 1,738,754,206.80 × 1,159,169,471.20
  4. Step 4: Simplify right side
    1,159,169,471.20x = 2,015,510,794,443,131,392
  5. Step 5: Solve for x
    x = 2,015,510,794,443,131,392/1,159,169,471.20
  6. Step 6: Final answer
    x = 1,738,754,206.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.